3. A population distribution is known to have standard deviation 20. Determine the p-value of a test

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3. A population distribution is known to have standard deviation 20. Determine the p-value of a test of the hypothesis that the population mean is equal to 50, if the average of a sample of 64 observations is

(a) 52.5;

(b) 55.0;

(c) 57.5.

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